The quality of spectral imaging data will be degraded by the vibrations of satellite platform. We study the methods to correct degraded spectral imaging data in this paper. First, the vibration patterns of satellites and the degradation mechanism of the motion imaging of dispersion imaging spectrometer are introduced. Considering the problems of traditional two-dimensional deconvolution algorithms, and the speciality of push-sweeping mechanism, a sectioned correction method is presented, in which are combined image dividing, dimension rising, and gradual splicing. And the motion deblurring algorithm based on natural image statistics is applied in the correction of degraded spectral imaging data. We implement degradation and correction experiments for various data. Results show that the qualities of spectral imaging data are significantly improved for both the spatials and spectrals. Our method is better than the traditional deconvolution algorithms.